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Finding the Third Proportional to 41,198.63 and 87,728.06

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Solution

The third proportional to 41,198.63 and 87,728.06 is: 186,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198.63 : 87,728.06 = 87,728.06 : x
  2. Step 2: Convert to fraction form
    41,198.63/87,728.06 = 87,728.06/x
  3. Step 3: Cross multiply
    41,198.63x = 87,728.06 × 87,728.06
  4. Step 4: Simplify right side
    41,198.63x = 7,696,212,950.00
  5. Step 5: Solve for x
    x = 7,696,212,950.00/41,198.63
  6. Step 6: Final answer
    x = 186,807.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.